The answer would be that Mario finished his homework at 3:55
The pair of angles are adjacent angles and supplementary and their measure =180
Refer to the attached image.
Given:
and measure of exterior angle at C =
.
We have to determine the measure of angle B and angle BCA.
By applying exterior angle property of the triangle which states:
"An exterior angle of a triangle is equal to the sum of the opposite interior angles".
So, exterior angle C = 


Now, applying angle sum property in triangle ABC which states:
"The sum of all the angles of a triangle is 180 degrees".





Therefore, the measure of
and
.
Answer:
4.75 pounds
Step-by-step explanation:
Before the termites: 5 pounds
After the termites: 1/4 of a pound
Amount that the termites took: x
5 - x = 1/4
Add x to both sides of the equation
5 = 1/4 + x
Subtract 1/4 from both sides of the equation
4 3/4 = x
4 3/4 = 4.75
The termites took 4.75 pounds from the log
Hope this helps :)
Range is the y values or ouputs
domain is inputs or x vvalues
we can use any x value
but at a certain y value, w can't go below that
find thatminimum
find the vertex
for
ax^2+bx+c
the x value of the vertex is
-b/2a
plug that in to the equaiton to get the y value
-b/2a=-(-6)/(2*2)=6/4=3/2
plug that in
2(3/2)^2-6(3/2)-9
2(9/4)-9-9
9/2-18
4.5-18
-13.5
domain=all real numbers
range=from -13.5 to positive infinity